The purpose of this paper is to introduce a new iteration process which is a multivalued version of the K^* iteration process. Using newly proposed iterative scheme, we establish some weak and strong convergence theorems for generalized α-nonexpansive multivalued mappings in uniformly convex Banach spaces. Finally, we provide analytical proof that our process is stable.

generalized α-nonexpansive, multivalued mapping, convergence theorems.

Received: November 14, 2021; Accepted: December 29, 2021; Published: January 24, 2022

How to cite this article: Makbule Kaplan Özekes, A three-step iteration process for generalized α-nonexpansive multivalued mapping in Banach spaces, JP Journal of Fixed Point Theory and Applications 16(2-3) (2021), 93-106. DOI: 10.17654/FP016230093

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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